English

Sign structures for short-range RVB states on small kagome clusters

Strongly Correlated Electrons 2011-11-15 v2

Abstract

We extended the Schwinger boson construction to obtain wave functions that are resonating valence bond (RVB) counterparts of the degenerate coplanar classical states on the Kagome lattice. We examined all 84 of them on the 36-site cluster and found that they form a narrow energy band. On the 12-site cluster, there are only four such states and their superpositions accurately account for the second through fourth exact diagonalization (ED) states, while the ED ground state is accurately reproduced by allowing a particular two-vison insertion on top of the q=0 RVB state. Thus, we have established the RVB sign structures for the low energy states on this cluster.

Cite

@article{arxiv.1110.0254,
  title  = {Sign structures for short-range RVB states on small kagome clusters},
  author = {Tiamhock Tay and Olexei I. Motrunich},
  journal= {arXiv preprint arXiv:1110.0254},
  year   = {2011}
}

Comments

To appear in Phys. Rev. B Brief Report

R2 v1 2026-06-21T19:13:59.550Z